33768440 has 32 divisors (see below), whose sum is σ = 76358160. Its totient is φ = 13440000.

The previous prime is 33768437. The next prime is 33768463. The reversal of 33768440 is 4486733.

It is a super-2 number, since 2×33768440² = 2280615080067200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33768440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6440 + ... + 10440.

Almost surely, 2^33768440 is an apocalyptic number.

It is an amenable number.

33768440 is an abundant number, since it is smaller than the sum of its proper divisors (42589720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33768440 is a wasteful number, since it uses less digits than its factorization.

33768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 33768440 is about 5811.0618650983. The cubic root of 33768440 is about 323.2240487530.

The spelling of 33768440 in words is "thirty-three million, seven hundred sixty-eight thousand, four hundred forty".